2017
Том 69
№ 6

All Issues

Elliptic pseudodifferential operators in the improved scale of spaces on a closed manifold

Murach A. A.

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Abstract

We study linear elliptic pseudodifferential operators in the improved scale of functional Hilbert spaces on a smooth closed manifold. Elements of this scale are isotropic Hörmander-Volevich-Paneyakh spaces. We investigate the local smoothness of a solution of an elliptic equation in the improved scale. We also study elliptic pseudodifferential operators with parameter.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 6, pp 874-893.

Citation Example: Murach A. A. Elliptic pseudodifferential operators in the improved scale of spaces on a closed manifold // Ukr. Mat. Zh. - 2007. - 59, № 6. - pp. 798–814.

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